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Equation Word Problems Worksheet

Quantitative aptitude lesson 28: Word problems with equations · Set 96 · 40 questions
TalentJR

The method (Let it be x): Let x be the thing asked for. Write the other amounts using x. Turn the story into one equation. Open brackets, collect x on one side and numbers on the other, then divide. Check: put x back into the story.

NameDateTime takenScore ___ / 40
  1. 1.Solve for x: 7(x + 7) = 2x + 149. What is x?
  2. 2.Solve for x: 4(x + 5) = x + 53. What is x?
  3. 3.2 × ? − 13 = 25
  4. 4.A pen costs ₹3 more than a pencil. 6 pens and 3 pencils cost ₹153 in all. What does one pencil cost (in ₹)?
  5. 5.I think of a number, multiply it by 5 and then add 8. The answer is 133. What is my number?
  6. 6.I think of a number, multiply it by 4 and then add 5. The answer is 125. What is my number?
  7. 7.3 × ? + 1 = 16
  8. 8.Diya has 14 coins, all ₹5 and ₹2 coins, worth ₹37 in all. How many ₹5 coins are there?
  9. 9.I think of a number, multiply it by 5 and then add 29. The answer is 49. What is my number?
  10. 10.I think of a number, multiply it by 5 and then take away 23. The answer is 57. What is my number?
  11. 11.Solve for x: 8(x + 1) = 6x + 26. What is x?
  12. 12.2 × ? + 25 = 47
  13. 13.I think of a number, multiply it by 4 and then add 5. The answer is 53. What is my number?
  14. 14.Solve for x: 6(x + 5) = 2x + 86. What is x?
  15. 15.Kavya has 29 coins, all ₹5 and ₹2 coins, worth ₹127 in all. How many ₹5 coins are there?
  16. 16.A pen costs ₹7 more than a pencil. 2 pens and 6 pencils cost ₹158 in all. What does one pencil cost (in ₹)?
  17. 17.Solve for x: 3(x + 2) = x + 30. What is x?
  18. 18.A pen costs ₹10 more than a pencil. 4 pens and 3 pencils cost ₹145 in all. What does one pencil cost (in ₹)?
  19. 19.The length of a rectangle is 5 m more than its breadth. Its perimeter is 38 m. What is its breadth (in m)?
  20. 20.10 × ? − 4 = 126
  21. 21.Solve for x: 9(x + 8) = 5x + 84. What is x?
  22. 22.A pen costs ₹13 more than a pencil. 3 pens and 3 pencils cost ₹87 in all. What does one pencil cost (in ₹)?
  23. 23.I think of a number, multiply it by 9 and then add 25. The answer is 160. What is my number?
  24. 24.Ananya has 8 coins, all ₹5 and ₹2 coins, worth ₹25 in all. How many ₹5 coins are there?
  25. 25.I think of a number, multiply it by 4 and then add 4. The answer is 16. What is my number?
  26. 26.Sneha has 14 coins, all ₹5 and ₹2 coins, worth ₹40 in all. How many ₹5 coins are there?
  27. 27.A pen costs ₹3 more than a pencil. 4 pens and 4 pencils cost ₹164 in all. What does one pencil cost (in ₹)?
  28. 28.Solve for x: 8(x + 1) = 6x + 36. What is x?
  29. 29.8 × ? − 9 = 63
  30. 30.8 × ? + 13 = 213
  31. 31.I think of a number, multiply it by 4 and then add 12. The answer is 104. What is my number?
  32. 32.2 × ? + 1 = 35
  33. 33.A pen costs ₹13 more than a pencil. 4 pens and 5 pencils cost ₹196 in all. What does one pencil cost (in ₹)?
  34. 34.Meera has 23 coins, all ₹5 and ₹2 coins, worth ₹76 in all. How many ₹5 coins are there?
  35. 35.4 × ? + 29 = 109
  36. 36.Zoya has 11 coins, all ₹5 and ₹2 coins, worth ₹28 in all. How many ₹5 coins are there?
  37. 37.Solve for x: 3(x + 5) = x + 53. What is x?
  38. 38.Dev has 27 coins, all ₹5 and ₹2 coins, worth ₹90 in all. How many ₹5 coins are there?
  39. 39.I think of a number, multiply it by 6 and then add 7. The answer is 187. What is my number?
  40. 40.Diya has 19 coins, all ₹5 and ₹2 coins, worth ₹74 in all. How many ₹5 coins are there?

Answer key

  1. 20
  2. 11
  3. 19
  4. 15
  5. 25
  6. 30
  7. 5
  8. 3
  9. 4
  10. 16
  11. 9
  12. 11
  13. 12
  14. 14
  15. 23
  16. 18
  17. 12
  18. 15
  19. 7
  20. 13
  21. 3
  22. 8
  23. 15
  24. 3
  25. 3
  26. 4
  27. 19
  28. 14
  29. 9
  30. 25
  31. 23
  32. 17
  33. 16
  34. 10
  35. 20
  36. 2
  37. 19
  38. 12
  39. 30
  40. 12

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